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123414434330110 = 257111910977391833
BaseRepresentation
bin11100000011111010101001…
…100001001011010111111110
3121011222022020010100121212021
4130003322221201023113332
5112134010230142030420
61114251450342230354
734665253506134320
oct3403725141132776
9534868203317767
10123414434330110
1136361849854120
1211a126644253ba
1353b2c14b78231
14226940d181610
15e4045cabb7aa
hex703ea984b5fe

123414434330110 has 128 divisors (see below), whose sum is σ = 294212796134400. Its totient is φ = 36107933137920.

The previous prime is 123414434330063. The next prime is 123414434330123. The reversal of 123414434330110 is 11033434414321.

It is a super-2 number, since 2×1234144343301102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37101247 + ... + 40290586.

It is an arithmetic number, because the mean of its divisors is an integer number (2298537469800).

Almost surely, 2123414434330110 is an apocalyptic number.

123414434330110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123414434330110 is an abundant number, since it is smaller than the sum of its proper divisors (170798361804290).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123414434330110 is a wasteful number, since it uses less digits than its factorization.

123414434330110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77391986.

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 123414434330110 its reverse (11033434414321), we get a palindrome (134447868744431).

The spelling of 123414434330110 in words is "one hundred twenty-three trillion, four hundred fourteen billion, four hundred thirty-four million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 19 22 35 38 55 70 77 95 109 110 133 154 190 209 218 266 385 418 545 665 763 770 1045 1090 1199 1330 1463 1526 2071 2090 2398 2926 3815 4142 5995 7315 7630 8393 10355 11990 14497 14630 16786 20710 22781 28994 41965 45562 72485 83930 113905 144970 159467 227810 318934 797335 1594670 77391833 154783666 386959165 541742831 773918330 851310163 1083485662 1470444827 1702620326 2708714155 2940889654 4256550815 5417428310 5959171141 7352224135 8435709797 8513101630 10293113789 11918342282 14704448270 16174893097 16871419594 20586227578 29795855705 32349786194 42178548985 51465568945 59049968579 59591711410 80874465485 84357097970 92792807767 102931137890 113224251679 118099937158 160278486143 161748930970 185585615534 226448503358 295249842895 320556972286 463964038835 566121258395 590499685790 649549654369 801392430715 927928077670 1121949403001 1132242516790 1299099308738 1602784861430 1763063347573 2243898806002 3247748271845 3526126695146 5609747015005 6495496543690 8815316737865 11219494030010 12341443433011 17630633475730 24682886866022 61707217165055 123414434330110